The average score for games played in the NFL is 22 and the standard deviation is 9.3 points. 18 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of ? N( 22 9.3 b. What is the distribution of Σz? Σz-N x? N( c. P(> 24.712) = d. Find the 63th percentile for the mean score for this sample size. e. P(22.012 < < 23.096) = f. Q1 for the distribution = g. P( Σε < 394.416) =
The average score for games played in the NFL is 22 and the standard deviation is 9.3 points. 18 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of ? N( 22 9.3 b. What is the distribution of Σz? Σz-N x? N( c. P(> 24.712) = d. Find the 63th percentile for the mean score for this sample size. e. P(22.012 < < 23.096) = f. Q1 for the distribution = g. P( Σε < 394.416) =
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The average score for games played in the NFL is 22 and the standard deviation is 9.3 points. 18 games are
randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution.
a. What is the distribution of ? - N 22
9.3
b. What is the distribution of ? - N
c. P(> 24.712) =
d. Find the 63th percentile for the mean score for this sample size.
e. P(22.012< < 23.096) =
f. Q1 for the distribution =
g. P(x x < 394.416) =
h. For part c) and e), is the assumption of normal necessary? Yes No
Hint:
Some Helpful Videos:
The Central Limit Theorem for Sums
• Finding the Sampling Distribution
. Finding the Sampling Distribution for a Sum
• Finding a Probability Using the Central Limit Theorem
Finding Campla Mean Given its Dornantile
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